Keplerian zoom finder optical system

ABSTRACT

In a Keplerian zoom finder optical system including an objective lens unit having a magnification changing function and having positive refractive power, and an eyepiece unit having positive refractive power for enlarging and observing therethrough a real image formed by the objective lens unit, the objective lens unit has, in succession from the object side, a forward from the object side, a forward group comprising a negative first lens and a positive meniscus-shaped second lens having its convex surface facing the object side, and having negative refractive power as a whole, and a rearward group comprising a biconvex positive third lens and a positive meniscus-shaped fourth lens having its convex surface facing the image side, and having positive refractive power as a whole, the spacing between the forward group and the rearward group being changed to thereby accomplish finder magnification change. The objective lens unit is designed to satisfy the following conditions: 
     
         -0.12&lt;r.sub.7 /f.sub.4 &lt;-0.05 
    
     
         30&lt;ν.sub.1 &lt;45, 
    
     where 
     r 7  : the radius of curvature of that surface of the fourth lens in the rearward group which is adjacent to the optical side, 
     f 4  : the focal length of the fourth lens in the rearward group, 
     ν 1  : the Abbe number of the first lens in the forward group.

BACKGROUND OF THE INVENTION

1. Field of the Invention

This invention relates to a magnification-changeable finder optical system, and particularly to a Keplerian zoom finder optical system suitable for use in a compact camera.

2. Related Background Art

In recent years, in lens shutter type compact cameras, zoom lenses having a great zoom ratio have been required as photo-taking objective lenses, and with it, zoom finders having a great magnification change ratio have become necessary also in camera finders.

As zoom finders of this kind, there are Japanese Laid-Open Patent Application No. 2-109009 which has been proposed by the applicant and already laid open, etc., and basically, these are such that the objective lens of a Keplerian telescope optical system in which a real image formed by the objective lens is enlarged and observed through an eyepiece is made into zoom, whereby the finder magnification is made continuously changeable.

The zoom finder disclosed in the above-mentioned Japanese Laid-Open Patent Application No. 2-109009 has a magnification change ratio (zoom ratio) of the order of 2.3 times and a field (angle of field) of the order of 55 degrees at the wide angle end and has an excellent optical performance.

This zoom finder, however, can hardly be said to be sufficient in respect of wide angle and high magnification change, and further, an attempt to endow this zoom finder with a great magnification change ratio has resulted in the possibility of making the finder optical system bulky.

SUMMARY OF THE INVENTION

So, the present invention has as its object the provision of a finder which realizes an angle of view (field) amounting to 64 degrees at the wide angle end and a high magnification change amounting to the order of 2.45 times and yet is compact and high in performance.

To achieve the above object, the finder optical system of the present invention is a Keplerian zoom finder optical system including an objective lens unit of positive refractive power having a magnification changing function, and an eyepiece unit of positive refractive power for enlarging and observing therethrough a real image formed by said objective lens unit, said objective lens unit having a forward group of negative refractive power and a rearward group of positive refractive power, said forward group comprising, in succession from the object side, a first lens of negative refractive power and a positive meniscus-shaped second lens having its convex surface facing the object side, said rearward group comprising, in succession from the object side, a biconvex third lens and a positive meniscus-shaped fourth lens having its convex surface facing the image side, the spacing between said forward group and said rearward group being changed to thereby vary the combined focal length thereof and vary the finder magnification, said finder optical system basically satisfying the following conditions:

    -0.12<r.sub.7 /f.sub.4 <-0.05, r<0, f.sub.4 >0             (1)

    30<ν.sub.1 <45                                          (2)

where

r₇ : the radius of curvature of that surface of the fourth lens which is adjacent to the object side,

f₄ the focal length of the fourth lens,

ν₁ the Abbe number of the first lens.

By constructing the fourth lens so as to satisfy condition (1) above, it becomes possible to correct coma well and make the relative aperture of the objective lens unit great. Also, by constructing the first lens so as to satisfy condition (2) above, it becomes possible to correct well chromatic aberration which tends to be increased by the finder system being made compact.

Also, it is desirable to construct the third lens so as to satisfy the following condition, in addition to constructing the fourth lens so as to satisfy condition (1).

    0.2<d.sub.5 <f.sub.w <0.27,                                (3)

where

d₅ : the on-axis thickness of the third lens,

f_(w) : the combined focal length of the forward unit and the rearward unit in the objective lens at the wide angle end.

By constructing the third lens so as to satisfy this condition (3), it is possible to achieve the compatibility of the high magnification change and compactness of the finder system.

Furthermore, it is desirable to construct the negative first lens so that the refractive index n₁ may satisfy the following condition, in addition to constructing the fourth lens so as to satisfy condition (1).

    1.53<n.sub.1 <1.60.                                        (4)

By constructing the first lens so that the refractive index thereof may satisfy condition (4), it is possible to correct the distortion at the wide angle end and the coma at the telephoto end well at a time, and also it becomes possible to reduce cost by using a plastic material for the lenses constituting the finder system.

According to the present invention constructed as described above, there can be achieved a compact Keplerian finder having a wide angle and a high magnification change rate which could never be achieved before.

Other objects, features and effects of the present invention will become fully apparent from the following detailed description of the invention taken in conjunction with the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1A to 1C are optical path views showing the construction of an optical system in a first embodiment of the present invention and the moved states of lenses during a magnification change.

FIGS. 2A to 2C are optical path views ,, showing the construction of an optical system in a second embodiment of the present invention except an erect system and the moved states of lenses during a magnification change.

FIGS. 3A to 3C are optical path views showing the construction of an optical system in a third embodiment of the present invention except an erect system and the moved state of lenses during a magnification change.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

FIGS. 1A to 3C show the optical paths of first, second and third embodiments, respectively, of the present invention, and in each of these figures, (a) shows the optical path in a minimum magnification state (wide angle end), (b) shows the optical path in a mean magnification state, and (c) shows the optical path in a maximum magnification state (telephoto end).

As shown, the zoom finder according to each embodiment of the present invention is of a construction basically having, in succession from the object side, an objective lens unit (a zoom objective lens unit) 0 comprising four lenses and having a magnification changing function, a field lens unit (field lens) F comprising a single positive lens, and an eyepiece unit E comprising a single biconvex positive lens.

The objective lens unit 0 comprises two groups, i.e., a forward group G_(F) having negative refractive power and a rearward group G_(R) having positive refractive power, and the forward group G_(F) comprises, in succession from the object side, a first lens L₁ having negative refractive power and a positive meniscus-shaped second lens L₂ having its convex surface facing the object side, and the rearward group G_(R) comprises, in succession from the object side, a biconvex third lens L₃ and a positive meniscus-shaped fourth lens L₄ having its convex surface facing the image side. The magnification change from the wide angle end (the minimum magnification state) to the telephoto end (the maximum magnification state) is accomplished by varying the spacing between the forward group G_(F) and the rearward group G_(R) for decrease. Specifically, the forward group G_(F) moves while describing a U-turn locus, and the rearward group G_(R) moves nonrectilinearly toward the object side.

As described above, the Keplerian zoom finder of the present invention is basically of a construction in which the spatial image (intermediate image) of an object is formed by a zoom objective lens comprised of at least two negative and positive groups and the spatial image is enlarged and observed through an eyepiece. If also has a construction in which the spacing between the forward group G_(F) of negative refractive power and the rearward group G_(R) of positive refractive power which constitute the zoom objective lens is varied, whereby the finder magnification can be continuously changed.

In such a zoom finder, to achieve compactness farther than before, it is necessary to strengthen the refractive powers of the objective lens 0 and the eyepiece E, but this involves a great difficulty from two problems shown below.

A first problem is that enhancing the refractive power of each lens means that the real image (spatial image) formed by the objective lens unit 0 becomes smaller and it is enlarged and observed through the eyepiece unit E and therefore, the aberrations of the objective lens unit 0 and the eyepiece unit E are more enlarged.

A second problem is that to obtain a predetermined large pupil diameter, a zoom objective lens of greater relative aperture becomes necessary and this may result in the bulkiness of the finder system.

So, the present invention has found that the following conditions (1) and (2) are further satisfied in the above-described basic construction, whereby the above-noted difficult problems are solved.

    -0.12<r.sub.7 /f.sub.4 <-0.05, r.sub.7 <0, f.sub.4 >0      (1)

    30<ν.sub.1 <45,                                         (2)

wherein

r₇ : the radius of curvature of that surface of the fourth lens which is adjacent to the object side,

f₄ : the focal length of the fourth lens,

ν₁ : the Abbe number of the first lens.

Conditional expression (1) prescribes the optimum radius of curvature of that surface of the positive meniscus-shaped fourth lens L₄ which is adjacent to the object side, and this is concerned in good correction of coma. If the lower limit of this condition is exceeded, the correction of distortion and coma at the wide angle end will become difficult. If conversely, the upper limit of this condition is exceeded, the occurrence of high-order spherical aberrations will become remarkable and it will become impossible to make the relative aperture of the objective lens unit great.

Conditional expression (2) defines the optimum range of dispersion regarding the first lens L₁ having negative refractive power, and this is directed to good correction of the chromatic aberration of the finder system.

If the upper limit of this condition is exceeded, the first lens L₁ will become low in dispersion and the correction of on-axis chromatic aberration which will be greatly increased by making the power distribution of each unit of the finder system great and making the system compact will be difficult. If conversely, the lower limit of this condition is exceeded, the first lens L₁ will become high in dispersion and the occurrence of chromatic difference of magnification at the wide angle end will be remarkable.

Also, it is desirable to construct the third lens so as to satisfy the following condition, in addition to constructing the fourth lens so as to satisfy condition (1).

    0.2<d.sub.5 /f.sub.w <0.27,                                (3)

where

d₅ : the on-axis thickness of the third lens,

f_(w) : the combined focal length of the forward and rearward groups in the objective lens at the wide angle end.

Conditional expression (3) prescribes the on-axis thickness of the biconvex third lens L₃, and is for achieving the compatibility of high magnification change and compactness. If the upper limit of this condition is exceeded, the on-axis thickness of the third lens L₃ will increase and this will go against compactness and will further shorten the lens spacing and thus, it will become difficult to keep the spacing between the groups which is necessary for a magnification change. If conversely, the lower limit of this condition is exceeded, the appropriate on-axis thickness of the third lens L₃ cannot be secured and therefore, it will be difficult to make the relative aperture of the objective lens 0 great.

Furthermore, to accomplish good aberration correction, it is desirable to construct the negative first lens so that the refractive index n₁ thereof may satisfy the following condition, in addition to constructing the fourth lens so as to satisfy condition (1).

    1.53<n.sub.1 <1.60                                         (4)

If the lower limit of this condition is exceeded, it will become difficult to correct the distortion at the wide angle end and the coma at the telephoto end well at a time, and if conversely, the upper limit of this condition is exceeded, it will become impossible to use an inexpensive plastic material for the lenses constituting the finder system and achieve a reduction in cost.

Also, to correct aberrations better, it is desirable to construct the first lens so that the focal length f₁ thereof may satisfy the following condition, in addition to construct the first lens so as to satisfy condition (4).

    -1.2<f.sub.1 /f.sub.w <-0.8,                               (5)

where

f_(w) : the combined focal length of the forward and rearward groups in the objective lens at the wide angle end.

Condition (5) prescribes the appropriate refractive power distribution of the negative first lens L₁ and the positive second lens L₂ in the forward group G_(F) having negative refractive power, and this is directed to good correction of distortion and coma. If the upper limit of condition (5) is exceeded, the correction of the coma at the telephoto end will be difficult, and if conversely, the lower limit of this condition is exceeded, the negative distortion at the wide angle end will become very great and difficult to correct.

Now, of course, there is a limit in strengthening the refractive powers of the objective lens unit 0 and the eyepiece unit E. This is because if the refractive powers of these units are strengthened too much, an appropriate eye point position and an appropriate pupil diameter will not be obtained. In the case of the present invention, the limit is

    8.5 mm<f.sub.w <11 mm,                                     (6)

where f_(w) is the combined focal length of the forward group G_(F) and rearward group G_(R) in the objective lens unit at the wide angle end (minimum magnification state). If the upper limit of this condition is exceeded, it will become difficult to make the finder system compact, and if conversely, the lower limit of this condition is exceeded, the pupil diameter will become small or the distance from the last surface of the eyepiece unit E to the eye point E.P. will become short and the image formed by the objective lens unit 0 will become very difficult to observe. Also, the finder magnification will be reduced and a reduction in the specification of the finder will be unavoidable.

Further, to achieve good aberration correction, it is more desirable that surface of the negative first lens L₁ which is adjacent to the image side and that surface of the positive meniscus-shaped fourth lens L₄ which is adjacent to the image side be made into aspherical surfaces and that those aspherical surfaces satisfy the following conditions:

    0.188·r.sub.2 <S.sub.2 (0.6·r.sub.2)<0.198·r.sub.2             (7)

    0.03·.r.sub.8 <S.sub.8 (0.25·r.sub.8)<0.0316·r.sub.8,          (8)

where S₂ (y) and S₈ (y) indicate the shapes of the aspherical surface of the first lens L₁ which is adjacent to the image side and the aspherical surface of the fourth lens L₄ which is adjacent to the image side, respectively, and these indicate the distances from the tangential planes on the verteces of the respective aspherical surfaces at a height y in the vertical direction from the optical axis in the aspherical surfaces, along the direction of the optical axis. r₂ and r₈ represent the paraxial radii of curvature of the aspherical surface of the first lens L₁ which is adjacent to the image side and the aspherical surface of the fourth lens L₄ which is adjacent to the image side, respectively.

Generally, however, an aspherical surface can be expressed by the following polynominal: ##EQU1## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient and R is the standard radius of curvature. The above-mentioned paraxial radius of curvature r is indicated as r=1/(2.A₃ +1/R).

Conditional expression (7) is for correcting distortion well. If the upper limit of this condition is exceeded, the effect of the aspherical surfaces will become meager and good correction of distortion will become difficult. If conversely, the lower limit of this condition is exceeded, the effect of the aspherical surfaces will become excessive and astigmatism will occur very greatly and the correction thereof will become difficult.

Conditional expression (8) is concerned in good correction of the spherical aberration at the telephoto end. If the upper limit of this condition is exceeded, the effect of the aspherical surfaces will become small and therefore, the correction of negative spherical aberration will become difficult. If conversely, the lower limit of this condition is exceeded, the effect of the aspherical surfaces will become excessive and positive spherical aberration will become remarkable and the correction thereof will become difficult.

In the first embodiment shown in FIG. 1, the image formed by the objective lens 0 is imaged through the field lens unit F on a field frame s formed on that surface of a prism P for making the image erect. Making the image erect is accomplished by total four times of reflection by four reflecting surfaces M₁, M₂, M₃ and M₄ provided in the prism P and schematically shown by dots-and-dash lines. The reflecting surface M₂ is obliquely provided with rotation by 90° about the optical axis relative to the reflecting surface M₁, and the reflecting surface M₃ is obliquely provided so as to be orthogonal to the reflecting surface M₂. Alternatively, a reflecting surface may be obliquely provided in the space between the objective lens 0 and the field lens unit F and three reflecting surfaces may be provided in the prism P so that making the image erect may be accomplished by total four times of reflection.

In the second embodiment shown in FIG. 2, the field lens F is comprised of a plano-convex lens having its convex surface facing the image side, and is disposed so that the planar surface side thereof may coincide with the focal plane of the objective lens 0. Also, the field frame s is formed on the planar surface side of the plano-convex field lens F. Further, a protective window PL is provided on the eye point E.P. side near the objective lens 0 to prevent any dust which comes into the objective lens 0 side due to the movement of the objective lens during a magnification change from adhering to the field frame s. Making the image erect in this second embodiment is accomplished by total four times of reflection by two reflecting surfaces M₁ and M₂ provided in the space between the protective window PL and the field lens F and two reflecting surfaces M₃ and M₄ provided in the space between the field lens F and the eyepiece E.

The values of the numerical data of the respective embodiments of the present invention will be shown in Tables 1 to 3 below. In the tables below, the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point. Also, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of these aspherical surfaces is represented by the aforementioned expressions of the aspherical surface,

                  TABLE 1                                                          ______________________________________                                         (1st Embodiment)                                                               x = -1.00 Diopter                                                                             m = 0.377x - 0.928x                                             2ω = 64.0° - 25.8°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   79.9325  1.3000    33.08                                                                               1.56440                                            2*  5.5345   2.1000         1.00000                                            3   6.9037   2.3000    57.57                                                                               1.49108    G.sub.F                                 4   11.3510  (variable)     1.00000                                            5   12.6894  2.6000    57.57                                                                               1.49108             O                              6   -19.0105 1.6000         1.00000                                            7   -5.2294  2.4000    57.57                                                                               1.49108    G.sub.R                                 8*  -5.0604  (variable)     1.00000                                             9   23.0000  3.2000    57.57                                                                               1.49108                                                                                  F                                      10   -23.0000 0.6000         1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                       12   ∞  36.7500    56.05                                                                              1.56882                                                                                  P                                      13   ∞  0.5000         1.00000                                            14*  20.9880  3.2000    57.57                                                                               1.49108                                                                                  E                                      15   -30.0120 15.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.3773        0.5935   0.9276                                           d4     14.6017       6.1780   0.8823                                           d8     19.1186       24.5082  32.8375                                          ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.5345                                 Cone coefficient: k = 0.76                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -1.76970 × 10.sup.-5,                                                             C.sub.6 = 4.51780 × 10.sup.-6                         C.sub.8 = -1.85900 × 10.sup.-7,                                                             C.sub.10 = 1.55690 × 10.sup.-10                       ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -5.0604                                Cone coefficient: k = 0.44                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -2.02980 × 10.sup.-5,                                                             C.sub.6 = -3.70760 × 10.sup.-6                        C.sub.8 = -3.08070 × 10.sup.-8,                                                             C.sub.10 = 7.84670 × 10.sup.-10                       ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.9880                               Cone coefficient: k = -1.35                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0,  C.sub.4 = 0.0,                                                                              C.sub.6 = 0.0                                     C.sub.8 = -3.00000 × 10.sup.-10,                                                                      C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 33.1,                                                                             r.sub.7 /f.sub.4 = 0.0931,                                                                  d.sub.5 /f.sub.w = 0.252                          f.sub.1 /f.sub.w = -1.026,                                                                     n.sub.1 = 1.563,                                                                            f.sub.w = 10.33                                   S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1946                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03148                            ______________________________________                                    

                  TABLE 2                                                          ______________________________________                                         (2nd Embodiment)                                                               x = -0.70 Diopter                                                                              m = 0.449x - 0.828x                                            2ω = 55.5° - 30.2°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   23.8970  1.1000    40.57                                                                               1.53636                                            2*  4.4750   2.8000         1.00000                                            3   5.6358   1.7000    57.57                                                                               1.49108    G.sub.F                                 4   7.1059   (variable)     1.00000                                            5   10.9770  2.4000    57.57                                                                               1.49108             O                              6   -15.1300 1.5000         1.00000                                            7   -5.0303  1.8000    57.57                                                                               1.49108    G.sub.R                                 8*  -4.7420  (variable)     1.00000                                             9   ∞  0.7000    58.80                                                                               1.52216                                                                                  P.sub.L                                10   ∞  18.5000        1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                       12   ∞  2.9000    57.57                                                                               1.49108                                                                                  F                                      13    -12.1020                                                                               20.9900        1.00000                                            14*  20.0640  4.8000    57.57                                                                               1.49108                                                                                  E                                      15   -29.5100 16.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.4490        0.6097   0.8281                                           d4     9.3593        4.8994   1.6154                                           d8     0.4407        3.7246   8.1846                                           ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 4.4750                                 Cone coefficient: k = 0.71                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 1.52610 × 10.sup.-4,                                                              C.sub.6 = 3.47050 × 10.sup.-6                         C.sub.8 = 4.35960 × 10.sup.-8,                                                              C.sub.10 = -8.99150 × 10.sup.-9                       ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.7420                                Cone coefficient: k = 0.46                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 3.29640 × 10.sup.- 5,                                                             C.sub.6 = 4.74550 × 10.sup.-7                         C.sub.8 = -5.27980 × 10.sup.-8,                                                             C.sub.10 = -5.61980 × 10.sup.-9                       ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.0640                               Cone coefficient: k = -1.40                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0,  C.sub.4 = 0.0,                                                                              C.sub.6 = 0.0                                     C.sub.8 = -5.00000 × 10.sup.-10,                                                                      C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 40.6,                                                                             r.sub.7 /f.sub.4 = 0.0912,                                                                  d.sub.5 /f.sub.w = 0.234                          f.sub.1 /f.sub.w = -1.022,                                                                     n.sub.1 = 1.536,                                                                            f.sub.w = 10.25                                   S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1953                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03146                            ______________________________________                                    

                  TABLE 3                                                          ______________________________________                                         (3rd Embodiment)                                                               x = -0.70 Diopter                                                                             m = 0.348x - 0.634x                                             2ω = 55.0° - 29.5°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   -67.3990 1.2000    35.09                                                                               1.574100                                           2*  5.4810   1.7000         1.000000                                           3   6.2002   1.7000    57.57                                                                               1.491080   G.sub.F                                 4   11.0354  (variable)     1.000000                                           5   9.2570   2.5000    57.57                                                                               1.491080            O                              6   -13.7350 0.3000         1.000000                                           7   -4.8011  2.0000    57.57                                                                               1.491080   G.sub.R                                 8*  -4.8170  (variable)     1.000000                                            9   ∞  0.7000    58.80                                                                               1.522160                                                                                 PL                                     10   ∞  5.0000         1.000000                                          11   10.6020  2.7000    57.57                                                                               1.491080                                                                              ]   s                                       12    ∞                                                                                0.2000         1.000000                                                                                 F                                      13   ∞  25.8000         1.000000                                          14*  19.0180  2.3000    57.57                                                                               1.491080                                                                                 E                                      15   -41.0030 16.0000        1.000000                                          16   E.P.                    1.000000                                          ______________________________________                                         m      0.34841       0.46996  0.63392                                          d4     8.36021       4.23632  1.17897                                          d8     10.48979      13.54707 17.67103                                         ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.4810                                 Cone coefficient: k = 0.8700                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0,   C.sub.4 = 0.0,                                                                             C.sub.6 = 0.0                                     C.sub.8 = 1.4531 × 10.sup.-7                                                                          C.sub.10 = 0.0                                    ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.8170                                Cone coefficient: k = 0.3600                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0,   C.sub.4 =  0.0,                                                                            C.sub.6 = 0.0                                     C.sub.8 = 2.60780 × 10.sup.-8                                                                         C.sub.10 = 0.0                                    ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 19.0180                               Cone coefficient: k = -0.4600                                                  Aspherical surface coefficient                                                 C.sub.2 = 0.0,  C.sub.4 = 0.0,                                                                              C.sub.6 = 0.0                                     C.sub.8 = -5.00000 × 10.sup.-10                                                                       C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 35.09,                                                                            r.sub.7 /f.sub.4 = -0.0655,                                                                 d.sub.5 /f.sub.w = 0.248                          f.sub.1 /f.sub.w = -0.873,                                                                     n.sub.1 = 1.5741,                                                                           f.sub.w = 10.052                                  S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1972                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03143                            ______________________________________                                    

As described above, according to the present invention, there can be achieved a Keplerian finder which keeps a compact shape and yet has a wide angle and a high magnification change rate which could not be achieved before. 

What is claimed is:
 1. A Keplerian zoom finder optical system including an objective lens unit having a magnification changing function and having positive refractive power, and an eyepiece unit having positive refractive power for enlarging and observing therethrough a real image formed by said objective lens unit, said objective lens unit having, in succession from the object side, a forward group comprising a negative first lens and a positive meniscus-shaped second lens having its convex surface facing the object side, and having negative refractive power as a whole, and a rearward group comprising a biconvex positive third lens and a positive meniscus-shaped fourth lens having its convex surface facing the image side, and having positive refractive power as a whole, the spacing between said forward group and said rearward group being changed to thereby accomplish finder magnification change, said objective lens unit being designed to satisfy the following conditions:

    -0.12<r.sub.7 /f.sub.4 <-0.05

    30<ν.sub.1 <45,

where r₇ : the radius of curvature of that surface of the fourth lens in the rearward group which is adjacent to the object side, f₄ : the focal length of the fourth lens in the rearward group, ν.sub. : the Abbe number of the first lens in the forward group.
 2. A Keplerian zoom finder optical system including an objective lens unit having a magnification changing function and having positive refractive power, and an eyepiece unit having positive refractive power for enlarging and observing therethrough a real image formed by said objective lens unit, said objective lens unit having, in succession from the object side, a forward group comprising a negative first lens and a positive meniscus-shaped second lens having its convex surface facing the object side, and having negative refractive power as a whole, and a rearward group comprising a biconvex positive third lens and a positive meniscus-shaped fourth lens having its convex surface facing the image side, and having positive refractive power as a whole, the spacing between said forward group and said rearward group being changed to thereby accomplish finder magnification change, said objective lens unit being designed to satisfy the following conditions:

    -0.12<r.sub.7 /f.sub.4 <-0.05

    0.2<d.sub.5 /f.sub.w <0.27,

where r₇ : the radius of curvature of that surface of the fourth lens in the rearward group, f₄ : the focal length of the fourth lens in the rearward group, d₅ : the on-axis thickness of the third lens in the rearward group, f_(w) : the combined focal length of the forward and rearward groups in the objective lens unit at the wide angle end.
 3. A Keplerian zoom finder optical system including an objective lens unit having a magnification changing function and having positive refractive power, and an eyepiece unit having positive refractive power for enlarging and observing therethrough a real image formed by said objective lens unit, said objective lens unit having, in succession from the object side, a forward group comprising a negative first lens and a positive meniscus-shaped second lens having its convex surface facing the object side, and having negative refractive power as a whole, and a rearward group comprising a biconvex positive third lens and a positive meniscus-shaped fourth lens having its convex surface facing the image side, and having positive refractive power as a whole, the spacing between said forward group and said rearward group being changed to thereby accomplish finder magnification change, said objective lens unit being designed to satisfy the following conditions:

    -0.12<r.sub.7 /f.sub.4 <-0.05

    1.53<n.sub.1 <1.60,

where r₇ : the radius of curvature of the surface of the fourth lens in the rearward group which is adjacent to the object side; f4 the focal length of the fourth lens in the rearward group, n₁ : the refractive index of the first lens in the forward group.
 4. A Keplerian zoom finder optical system including an objective lens unit having a magnification changing function and having positive refractive power, and an eyepiece unit having positive refractive power for enlarging and observing therethrough a real image formed by said objective lens unit, said objective lens unit having, in succession from the object side, a forward group comprising a negative first lens and a positive meniscus-shaped second lens having its convex surface facing the object side, and having negative refractive power as a whole, and a rearward group comprising a biconvex positive third lens and a positive meniscus-shaped fourth lens having its convex surface facing the image side, and having positive refractive power as a whole, the spacing between said forward group and said rearward group being changed to thereby accomplish finder magnification change, said objective lens unit being designed to satisfy the following conditions:

    -0.12<r.sub.7 /f.sub.4 <-0.05

    30<ν.sub.1 <45

    0.2<d.sub.5 /f.sub.w <0.27

    -1.2<f.sub.1 /f.sub.w <-0.8,

where r₇ : the radius of curvature of that surface of the fourth lens in the rearward group which is adjacent to the object side, f₄ : the focal length of the fourth lens in the rearward group, ν₁ : the Abbe number of the first lens in the forward group, d₅ : the on-axis thickness of the third lens in the rearward group, f_(w) : the combined focal length of the forward and rearward groups in the objective lens unit at the wide angle end, f₁ : the focal length of the first lens in the forward group.
 5. A Keplerian zoom finder optical system according to claim 4, wherein the first lens in the forward group is further designed to satisfy the following condition:

    1.53<n.sub.1 <1.60,

where n₁ : the refractive index of the first lens in the forward group.
 6. A Keplerian zoom finder optical system according to claim 4, wherein said objective lens unit is further designed such that the combined focal length f_(w) of the forward group and the rearward group at the wide angle end satisfies the following condition:

    8.5 mm<f.sub.w <11 mm.


7. A Keplerian zoom finder optical system according to claim 4, wherein said first lens in said forward group and said fourth lens in said rearward group have those surfaces thereof which are adjacent to the image side formed into aspherical surfaces, and when the shape S(y) of the aspherical surfaces is expressed by the following general expression and the distance from the tangential plane on the verteces of the aspherical surfaces at a height y in the vertical direction from the optical axis along the optical axis is indicated by S(y), ##EQU2## where k : cone coefficient,A_(n) : nth-order aspherical surface coefficient, R : standard radius of curvature, and when the paraxial radius of curvature r of the aspherical surfaces is

    r=1/(2·A 1/R),

said first lens and said fourth lens are designed such that the shapes of the aspherical surfaces thereof satisfy the following conditions:
 0. 188·r₂ <S₂ (0.6·r₂)<0.198·r₂

    0.03·r.sub.8 <S.sub.8 (0.25·r.sub.8)<0.0316·r.sub.8,

where S₂ (y) : the aspherical shape of that surface of the first lens which is adjacent to the image side, S₈ (y) : the aspherical shape of that surface of the fourth lens which is adjacent to the image side, r₂ : the paraxial radius of curvature of the aspherical surface of the first lens which is adjacent to the image side, r₈ the paraxial radius of curvature of the aspherical surface of the fourth lens which is adjacent to the image side.
 8. A Keplerian zoom finder optical system according to claim 1, which is designed in accordance with the following data:

    ______________________________________                                         x = -1.00 Diopter                                                                             m = 0.377x - 0.928x                                             2ω = 64.0° - 25.8°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   79.9325  1.3000    33.08                                                                               1.56440                                            2*  5.5345   2.1000         1.00000                                            3   6.9037   2.3000    57.57                                                                               1.49108    G.sub.F                                 4   11.3510  (variable)     1.00000                                            5   12.6894  2.6000    57.57                                                                               1.49108             O                              6   -19.0105 1.6000         1.00000                                            7   -5.2294  2.4000    57.57                                                                               1.49108    G.sub.R                                 8*  -5.0604  (variable)     1.00000                                             9   23.0000  3.2000    57.57                                                                               1.49108                                                                                  F                                      10   -23.0000 0.6000         1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                       12   ∞  36.7500   56.05                                                                               1.56882                                                                                  P                                      13   ∞  0.5000         1.00000                                            14*  20.9880  3.2000    57.57                                                                               1.49108                                                                                  E                                      15   -30.0120 15.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.3773        0.5935   0.9276                                           d4     14.6017       6.1780   0.8823                                           d8     19.1186       24.5082  32.8375                                          ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.5345                                 Cone coefficient: k = 0.76                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -1.76970 × 10.sup.-5                                                              C.sub.6 = 4.51780 × 10.sup.-6                         C.sub.8 = -1.85900 × 10.sup.-7                                                              C.sub.10 = 1.55690 × 10.sup.-10                       ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -5.0604                                Cone coefficient: k = 0.44                                                     Aspherical surface coefficient                                                 C.sub.2  = 0.0                                                                 C.sub.4 = -2.02980 × 10.sup.-5                                                              C.sub.6 = -3.70760 × 10.sup.-6                        C.sub.8 = -3.08070 × 10.sup.-8                                                              C.sub.10 = 7.84670 × 10.sup.-10                       ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.9880                               Cone coefficient: k = -1.35                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0   C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                     C.sub.8 = -3.00000 × 10.sup.-10                                                                       C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 33.1,                                                                             r.sub.7 /f.sub.4 = 0.0931,                                                                  d.sub.5 /f.sub.w = 0.252                          f.sub.1 /f.sub.w = -1.026,                                                                     n.sub.1 = 1.563,                                                                            f.sub.w = 10.33                                   S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1946                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03148                            ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU3## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 9. A Keplerian zoom finder optical system according to claim 1, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter                                                                             m = 0.449x - 0.828x                                             2ω = 55.5° - 30.2°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   23.8970  1.1000    40.57                                                                               1.53636                                            2*  4.4750   2.8000         1.00000                                            3   5.6358   1.7000    57.57                                                                               1.49108    G.sub.F                                 4   7.1059   (variable)     1.00000                                            5   10.9770  2.4000    57.57                                                                               1.49108             O                              6   -15.1300 1.5000         1.00000                                            7   -5.0303  1.8000    57.57                                                                               1.49108    G.sub.R                                 8*  -4.7420  (variable)     1.00000                                             9   ∞  0.7000    58.80                                                                               1.52216                                                                                  PL                                     10   ∞  18.5000        1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                       12   ∞  2.9000    57.57                                                                               1.49108                                                                                  F                                      13   -12.1020 20.9900        1.00000                                            14*  20.0640  4.8000    57.57                                                                               1.49108                                                                                  E                                      15   -29.5100 16.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.4490        0.6097   0.8281                                           d4     9.3593        4.8994   1.6154                                           d8     0.4407        3.7246   8.1846                                           ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 4.4750                                 Cone coefficient: k = 0.71                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 1.52610 × 10.sup.-4                                                               C.sub.6 = 3.47050 × 10.sup.-6                         C.sub.8 = 4.35960 × 10.sup.-8                                                               C.sub.10 = -8.99150 × 10.sup.-9                       ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.7420                                Cone coefficient: k = 0.46                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 3.29640 × 10.sup.-5                                                               C.sub.6 = 4.74550 × 10.sup.- 7                        C.sub.8 = -5.27980 × 10.sup.-8                                                              C.sub.10 = -5.61980 × 10.sup.-9                       ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.0640                               Cone coefficient: k = -1.40                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0   C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                     C.sub.8 = -5.00000 × 10.sup.-10                                                                       C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 40.6,                                                                             r.sub.7 /f.sub.4 = 0.0912,                                                                  d.sub.5 /f.sub.w = 0.234                          f.sub.1 = f.sub.w = -1.022,                                                                    n.sub.1 = 1.536,                                                                            f.sub.w = 10.25                                   S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1953                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03146                            ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU4## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 10. A Keplerian zoom finder optical system according to claim 1, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter                                                                             m = 0.348x - 0.634x                                             2ω = 55.0° - 29.5°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   -67.3990 1.2000    35.09                                                                               1.574100                                           2*  5.4810   1.7000         1.000000                                           3   6.2002   1.7000    57.57                                                                               1.491080   G.sub.F                                 4   11.0354  (variable)     1.000000                                           5   9.2570   2.5000    57.57                                                                               1.491080            O                              6   -13.7350 0.3000         1.000000                                           7   -4.8011  2.0000    57.57                                                                               1.491080   G.sub.R                                 8*  -4.8170  (variable)     1.000000                                            9   ∞  0.7000    58.80                                                                               1.522160                                                                                 PL                                     10   ∞  5.0000         1.000000                                          11   10.6020  2.7000    57.57                                                                               1.491080                                                                              ]   s                                       12   ∞  0.2000         1.000000                                                                                 F                                      13   ∞  25.8000        1.000000                                           14   19.0180  2.3000    57.57                                                                               1.491080                                                                                 E                                      15   -41.0030 16.0000        1.000000                                          16   E.P.                    1.000000                                          ______________________________________                                         m      0.34841       0.46996  0.63392                                          d4     8.36021       4.23632  1.17897                                          d8     10.48979      13.54707 17.67103                                         ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.4810                                 Cone coefficient: k = 0.8700                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0   C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                     C.sub.8 = 1.4531 × 10.sup.-7                                                                          C.sub.10 = 0.0                                    ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.8170                                Cone coefficient: k = 0.3600                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0   C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                     C.sub.8 = 2.60780 × 10.sup.-8                                                                         C.sub.10 = 0.0                                    ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 19.0180                               Cone coefficient: k = -0.4600                                                  Aspherical surface coefficient                                                 C.sub.2 = 0.0   C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                     C.sub.8 = -5.00000 × 10.sup.-10                                                                       C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 35.09                                                                             r.sub.7 /f.sub.4 = -0.0655                                                                  d.sub.5 /f.sub.w = 0.248                          f.sub.1 /f.sub.w = -0.873                                                                      n.sub.1 = 1.5741                                                                            f.sub.w = 10.052                                  S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1972                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03143                            ______________________________________                                    

where the numbers at the left end represents the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU5## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 11. A Keplerian zoom finder optical system according to claim 2, which is designed in accordance with the following data:

    ______________________________________                                         x = -1.00 Diopter,                                                                            m = 0.377x - 0.928x                                             2ω = 64.0° - 25.8°                                         ______________________________________                                         r         d         ν   n                                                   ______________________________________                                          1   79.9325  1.3000    33.08                                                                               1.56440                                            2*  5.5345   2.1000         1.00000                                            3   6.9037   2.3000    57.57                                                                               1.49108    G.sub.F                                 4   11.3510  (variable)     1.00000                                            5   12.6894  2.6000    57.57                                                                               1.49108             O                              6   -19.0105 1.6000         1.00000                                            7   -5.2294  2.4000    57.57                                                                               1.49108    G.sub.R                                 8*  -5.0604  (variable)     1.00000                                             9   23.0000  3.2000    57.57                                                                               1.49108                                                                                  F                                      10   -23.0000 0.6000         1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                       12   ∞  36.7500   56.05                                                                               1.56882                                                                                  P                                      13   ∞  0.5000         1.00000                                            14*  20.9880  3.2000    57.57                                                                               1.49108                                                                                  E                                      15   -30.0120 15.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.3773        0.5935   0.9276                                           d4     14.6017       6.1780   0.8823                                           d8     19.1186       24.5082  32.8375                                          ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.5345                                 Cone coefficient: k = 0.76                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -1.76970 × 10.sup.-5                                                              C.sub.6 = 4.51780 × 10.sup.-6                         C.sub.8 = -1.85900 × 10.sup.-7                                                              C.sub.10 = 1.55690 × 10.sup.-10                       ______________________________________                                         8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -5.0604                                Cone coefficient: k = 0.44                                                     Aspherical surface coefficient                                                 C.sub.2 =  0.0                                                                 C.sub.4 = -2.02980 × 10.sup.-5                                                              C.sub.6 = -3.70760 × 10.sup.-6                        C.sub.8 = -3.08070 × 10.sup.-8                                                              C.sub.10 = 7.84670 × 10.sup.-10                       ______________________________________                                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.9880                               Cone coefficient: k = -1.35                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0   C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                     C.sub.8 = -3.00000 × 10.sup.-10                                                                       C.sub.10 = 0.0                                    ______________________________________                                         ν.sub.1 = 33.1,                                                                             r.sub.7 /f.sub.4 = 0.0931,                                                                  d.sub.5 /f.sub.w = 0.252                          f.sub.1 /f.sub.w = -1.026,                                                                     n.sub.1 = 1.563,                                                                            f.sub.w = 10.33                                   S.sub.2 (0.6 · r.sub.2)/r.sub.2 = 0.1946                              S.sub.8 (0.25 · r.sub.8)/r.sub.8 = 0.03148                            ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU6## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 12. A Keplerian zoom finder optical system according to claim 2, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter m = 0.449x - 0.828x                                          2.sub.ω = 55.5° - 30.2°                                    ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    23.8970  1.1000    40.57                                                                               1.53636                                           2*   4.4750   2.8000         1.00000                                           3    5.6358   1.7000    57.57                                                                               1.49108    G.sub.F                                4    7.1059   (variable)     1.00000                                           5    10.9770  2.4000    57.57                                                                               1.49108             O                             6    -15.1300 1.5000         1.00000                                           7    -5.0303  1.8000    57.57                                                                               1.49108    G.sub.R                                8*   -4.7420  (variable)     1.00000                                           9    ∞  0.7000    58.80                                                                               1.52216                                                                                   PL                                     10   ∞  18.5000        1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                      12   ∞  2.9000    57.57                                                                               1.49108                                                                                   F                                      13   -12.1020 20.9900        1.00000                                           14*  20.0640  4.8000    57.57                                                                               1.49108                                                                                   E                                      15   -29.5100 16.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.4490         0.6097  0.8281                                           d4     9.3593         4.8994  1.6154                                           d8     0.4407         3.7246  8.1846                                           ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 4.4750                                 Cone coefficient: k = 0.71                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 1.52610 × 10.sup.-4                                                              C.sub.6 = 3.47050 × 10.sup.-6                          C.sub.8 = 4.35960 × 10.sup.-8                                                              C.sub.10 = -8.99150 × 10.sup.-9                        8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.7420                                Cone coefficient: k = 0.46                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 3.29640 × 10.sup.-5                                                              C.sub.6 = 4.74550 × 10.sup.-7                          C.sub.8 = -5.27980 × 10.sup.-8                                                             C.sub.10 = -5.61980 × 10.sup.-9                        14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.4 = 20.0640                                Cone coefficient: k = 1.40                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4  = 0.0                                                                              C.sub.6 = 0.0                                       C.sub.8 = -5.00000 × 10.sup.-10                                                                 C.sub.10 = 0.0                                          ______________________________________                                         ν.sub.1 = 40.6, r.sub.7 /f.sub.4 = 0.0912, d.sub.5 /f.sub.w = 0.234         f.sub.1 /f.sub.w = -1.022, n.sub.1 = 1.536, f.sub.w = 10.25                    S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1953                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03146                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represent the eye point, the aspherical surfaces are indicated by the mark, * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU7## where K is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 13. A Keplerian zoom finder optical system according to claim 2, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter m = 0.348x - 0.634x                                          2.sup.ω = 55.0° - 29.5°                                    ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    -67.3990 1.2000    35.09                                                                               1.574100                                          2*   5.4810   1.7000         1.000000                                          3    6.2002   1.7000    57.57                                                                               1.491080   G.sub.F                                4    11.0354  (variable)     1.000000                                          5    9.2570   2.5000    57.57                                                                               1.491080            O                             6    -13.7350 0.3000         1.000000                                          7    -4.8011  2.0000    57.57                                                                               1.491080   G.sub.R                                8*   -4.8170  (variable)     1.000000                                          9    ∞  0.7000    58.80                                                                               1.522160                                                                                  PL                                     10   ∞  5.0000         1.000000                                          11   10.6020  2.7000    57.57                                                                               1.491080                                                                              ]   s                                      12   ∞  2.0000         1.000000                                                                                  F                                      13   ∞  25.8000        1.000000                                          14*  19.0810  2.3000    57.57                                                                               1.491080                                                                                  E                                      15   -41.0030 16.0000        1.000000                                          16   E.P.                    1.000000                                          ______________________________________                                         m       0.34841       0.46996  0.63392                                         d4       8.36021      4.23632  1.17897                                         d8     10.48979      13.54707 17.67103                                         ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.4810                                 Cone coefficient: k = 0.8700                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = 1.4531 × 10.sup.-7                                                                    C.sub.10 = 0.0                                          8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.8170                                Cone coefficient: k = 0.3600                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = 2.60780 × 10.sup.-8                                                                   C.sub.10 = 0.0                                          14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 19.0180                               Cone coefficient: k = -0.4600                                                  Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = -5.00000 × 10.sup.- 10                                                                C.sub.10 = 0.0                                          ______________________________________                                         ν.sub.1 = 35.09, r.sub.7 /f.sub.4 = -0.0655, d.sub.5 /f.sub.w = 0.248       f.sub.1 /f.sub.w = -0.873, n.sub.1 = 1.5741, f.sub.w = 10.052                  S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1972                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03143                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), the E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU8## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 14. A Keplerian zoom finder optical system according to claim 3, which is designed in accordance with the following data:

    ______________________________________                                         x = -1.00 Diopter m = 0.377x - 0.928x                                          2.sub.ω = 64.0° - 25.8°                                    ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    79.9325  1.3000    33.08                                                                               1.56440                                           2*   5.5345   2.1000         1.00000                                           3    6.9037   2.3000    57.57                                                                               1.49108    G.sub.F                                4    11.3510  (variable)     1.00000                                           5    12.6894  2.6000    57.57                                                                               1.49108             O                             6    -19.0105 1.6000         1.00000                                           7    -5.2294  2.4000    57.57                                                                               1.49108    G.sub.R                                8*   -5.0604  (variable)     1.00000                                           9    23.0000  3.2000    57.57                                                                               1.49108                                                                                   F                                      10   -23.0000 0.6000         1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                      12   ∞  36.7500   56.05                                                                               1.56882                                                                                   P                                      13   ∞  0.5000         1.00000                                           14*  20.9880  3.2000    57.57                                                                               1.49108                                                                                   E                                      15   -30.0120 15.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m       0.3773         0.5935  0.9276                                          d4     14.6017          6.1780                                                                                0.8823                                          d8     19.1186        24.5082 32.8375                                          ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.5345                                 Cone coefficient: k = 0.76                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -1.76970 × 10.sup.-5                                                             C.sub.6 = 4.51780 × 10.sup.-6                          C.sub.8 = -1.85900 × 10.sup.-7                                                             C.sub.10 = 1.55690 × 10.sup.-10                        8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -5.0604                                Cone coefficient: k = 0.44                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -2.02980 × 10.sup.-5                                                             C.sub.6 = -3.70760 × 10.sup.-6                         C.sub.8 = -3.08070 × 10.sup.-8                                                             C.sub.10 = 7.84670 × 10.sup.-10                        14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.9880                               Cone coefficient: k = -1.35                                                    Aspherical surface coefficient                                                 C.sub.2  = 0.0                                                                               C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = -3.000000 × 10.sup.-10                                                                C.sub.10 = 0.0                                          ______________________________________                                         ν.sub.1 = 33.1, r.sub.7 /f.sub.4 = 0.0931, d.sub.5 /f.sub.w = 0.252         f.sub.1 /f.sub.w = -1.026, n.sub.1 = 1.563, f.sub.w = 10.33                    S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1946                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03148                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU9## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 15. A Keplerian zoom finder optical system according to claim 3, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter m = 0.449x - 0.828x                                          2ω = 55.5° - 30.2°                                         ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    23.8970  1.1000    40.57                                                                               1.53636                                           2*   4.4750   2.8000         1.00000                                           3    5.6358   1.7000    57.57                                                                               1.49108    G.sub.F                                4    7.1059   (variable)     1.00000                                           5    10.9770  2.4000    57.57                                                                               1.49108             O                             6    -15.1300 1.5000         1.00000                                           7    -5.0303  1.8000    57.57                                                                               1.49108    G.sub.R                                8*   -4.7420  (variable)     1.00000                                           9    ∞  0.7000    58.80                                                                               1.52216                                                                                   PL                                     10   ∞  18.5000        1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                      12   ∞  2.9000    57.57                                                                               1.49108                                                                                   F                                      13   -12.1020 20.9900        1.00000                                           14*  20.0640  4.8000    57.57                                                                               1.49108                                                                                   E                                      15   -29.5100 16.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.4490         0.6097  0.8281                                           d4     9.3593         4.8994  1.6154                                           d8     0.4407         3.7246  8.1846                                           ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 4.4750                                 Cone coefficient: k = 0.71                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 1.52610 × 10.sup.-4                                                              C.sub.6 = 3.47050 × 10.sup.-6                          C.sub.8 = 4.35960 × 10.sup.-8                                                              C.sub.10 = -8.99150 × 10.sup.-9                        8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.7420                                Cone coefficient: k = 0.46                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 3.29640 × 10.sup.-5                                                              C.sub.6 = 4.74550 × 10.sup.-7                          C.sub.8 = -5.27980 × 10.sup.-8                                                             C.sub.10 = -5.61980 × 10.sup.-9                        14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.0640                               Cone coefficient: k = -1.40                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 =  0.0                                                                              C.sub.6 = 0.0                                       C.sub.8 = -5.00000 × 10.sup.-10                                                                 C.sub.10 = 0.0                                          ______________________________________                                         ν.sub.1 = 40.6, r.sub.7 /f.sub.4 = -0.0912, d.sub.5 /f.sub.w = 0.234        f.sub.1 /f.sub.w = -1.022, n.sub.1 = 1.536, f.sub.w = 10.25                    S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1953                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03146                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU10## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +a/R).
 16. A Keplerian zoom finder optical system according to claim 3, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter m = 0.348x - 0.634x                                          2ω = 55.5° - 29.5°                                         ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    -67.3990 1.2000    35.09                                                                               1.574100                                          2*   5.4810   1.7000         1.000000                                          3    6.2002   1.7000    57.57                                                                               1.491080   G.sub.F                                4    11.0354  (variable)     1.000000                                          5    9.2570   2.5000    57.57                                                                               1.491080            O                             6    -13.7350 0.3000         1.000000                                          7    -4.8011  2.0000    57.57                                                                               1.491080   G.sub.R                                8*   -4.8170  (variable)     1.000000                                          9    ∞  0.7000    58.80                                                                               1.522160                                                                                  PL                                     10   ∞  5.0000         1.000000                                          11   10.6020  2.7000    57.57                                                                               1.491080                                                                              ]   s                                      12   ∞  0.2000         1.000000                                                                                  F                                      13   ∞  25.8000        1.000000                                          14*  19.0180  2.3000    57.57                                                                               1.491080                                                                                  E                                      15   -41.0030 16.0000        1.000000                                          16   E.P.                    1.000000                                          ______________________________________                                         m       0.34841       0.46996  0.63392                                         d4      8.36021        4.23632                                                                                1.17897                                         d8     10.48979      13.54707 17.67103                                         ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.4810                                 Cone coefficient: k = 0.8700                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = 1.4531 × 10.sup.-7                                                                    C.sub.10 = 0.0                                          8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.8170                                Cone coefficient: k = 0.3600                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = 2.60780 × 10.sup.-8                                                                   C.sub.10 = 0.0                                          8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.14 = 19.0180                               Cone coefficient: k = -0.4600                                                  Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = -5.0000 × 10.sup.-10                                                                   C.sub.10 = 0.0                                         ______________________________________                                         ν.sub.1 = 35.09, r.sub.7 /f.sub.4 = -0.0655, d.sub.5 /f.sub.w = 0.248       f.sub.1 /f.sub.w = -0.873, n.sub.1 = 1.5741, f.sub.w = 10.052                  S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1972                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03143                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU11## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 17. A Keplerian zoom finder optical system according to claim 4, which is designed in accordance with the following data:

    ______________________________________                                         x = -1.00 Diopter m = 0.377x - 0.928x                                          2.sup.ω  = 64.0° - 25.8°                                   ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    79.9325  1.3000    33.08                                                                               1.56440                                           2*   5.5345   2.1000         1.00000                                           3    6.9037   2.3000    57.57                                                                               1.49108    G.sub.F                                4    11.3510  (variable)     1.00000                                           5    12.6894  2.6000    57.57                                                                               1.49108             O                             6    -19.0105 1.6000         1.00000                                           7    -5.2294  2.4000    57.57                                                                               1.49108    G.sub.R                                8*   -5.0604  (variable)     1.00000                                           9    23.0000  3.2000    57.79                                                                               1.49108                                                                                   F                                      10   -23.0000 0.6000         1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                      12   ∞  36.7500   56.05                                                                               1.56882                                                                                   P                                      13   ∞  0.5000         1.00000                                           14*  20.9880  3.2000    57.57                                                                               1.49108                                                                                   E                                      15   -30.0120 15.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m       0.3773         0.5935  0.9276                                          d4     14.6017          6.1780                                                                                0.8823                                          d8     19.1186        24.5082 32.8375                                          ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.5345                                 Cone coefficient: k = 0.76                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -1.76970 × 10.sup.-5                                                             C.sub.6 = 4.51780 × 10.sup.-6                          C.sub.8 = -1.85900 × 10.sup.-7                                                             C.sub.10 = 1.55690 × 10.sup.-10                        8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -5.0604                                Cone coefficient: k = 0.44                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = -2.02980 × 10.sup.-5                                                             C.sub.6 = -3.70760 × 10.sup.-6                         C.sub.8 = -3.08070 × 10.sup.-8                                                             C.sub.10 = 7.84670 × 10.sup.-9                         14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.9880                               Cone coefficient: k = -1.35                                                    Aspherical surface coefficient                                                 C.sub.2  = 0.0                                                                               C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = -3.00000 × 10.sup.-10                                                                 C.sub.10 = 0.0                                          ______________________________________                                         ν.sub.1 = 33.1, r.sub.7 /f.sub.4 = 0.0931, d.sub.5 /f.sub.w = 0.252         f.sub.1 /f.sub.w = -1.026, n.sub.1 = 1.563, f.sub.w = 10.33                    S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1946                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03148                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU12## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R).
 18. A Keplerian zoom finder optical system according to claim 4, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter m = 0.449x - 0.828x                                          2ω = 55.5° - 30.2°                                         ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    23.8970  1.1000    40.57                                                                               1.53636                                           2*   4.4750   2.8000         1.00000                                           3    5.6358   1.7000    57.57                                                                               1.49108    G.sub.F                                4    7.1059   (variable)     1.00000                                           5    10.9770  2.4000    57.57                                                                               1.49108             O                             6    -15.1300 1.5000         1.00000                                           7    -5.0303  1.8000    57.57                                                                               1.49108    G.sub.R                                8*   -4.7420  (variable)     1.00000                                           9    ∞  0.7000    58.80                                                                               1.52216                                                                                   PL                                     10   ∞  18.5000        1.00000                                           11   ∞  0.2000         1.00000                                                                               ]   s                                      12   ∞  2.9000    57.57                                                                               1.49108                                                                                   F                                      13   -12.1020 20.9900        1.00000                                           14*  20.0640  4.8000    57.57                                                                               1.49108                                                                                   E                                      15   -29.5100 16.0000        1.00000                                           16   E.P.                    1.00000                                           ______________________________________                                         m      0.4490         0.6097  0.8281                                           d4     9.3593         4.8994  1.6154                                           d8     0.4407         3.7246  8.1846                                           ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 4.4750                                 Cone coefficient: k = 0.71                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 1.52610 × 10.sup.-4                                                              C.sub.6 = 3.47050 × 10.sup.-6                          C.sub.8 = 4.35960 × 10.sup.-8                                                              C.sub.10 = -8.99150 × 10.sup.-9                        8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.7420                                Cone coefficient: k = 0.46                                                     Aspherical surface coefficient                                                 C.sub.2 = 0.0                                                                  C.sub.4 = 3.29640 × 10.sup.-5                                                              C.sub.6 = 4.74550 × 10.sup.-7                          C.sub.8 = -5.27980 × 10.sup.-8                                                             C.sub.10 = -5.61980 × 10.sup.-9                        14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 20.0640                               Cone coefficient: k = -1.40                                                    Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 =  0.0                                                                              C.sub.6 = 0.0                                       C.sub.8 = -5.0000 × 10.sup.-10                                                                  C.sub.10 = 0.0                                          ______________________________________                                         ν.sub.1 = 40.6, r.sub.7 /f.sub.4 = 0.0912, d.sub.5 /f.sub.w = 0.234         f.sub.1 /f.sub.w = -1.022, n.sub.1 = 1.536, f.sub.w = 10.25                    S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1953                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03146                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU13## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r is indicated by r=1/(2·A₂ +1/R).
 19. A Keplerian zoom finder optical system according to claim 4, which is designed in accordance with the following data:

    ______________________________________                                         x = -0.70 Diopter m = 0.348x - 0.634x                                          2ω = 55.0° - 29.5°                                         ______________________________________                                              r        d         ν n                                                 ______________________________________                                         1    -67.3990 1.2000    35.09                                                                               1.574100                                          2*   5.4810   1.7000         1.000000                                          3    6.2002   1.7000    57.57                                                                               1.491080   G.sub.F                                4    11.0354  (variable)     1.000000                                          5    9.2570   2.5000    57.57                                                                               1.491080            O                             6    -13.7350 0.3000         1.000000                                          7    -4.8011  2.0000    57.57                                                                               1.491080   G.sub.R                                8*   -4.8170  (variable)     1.000000                                          9    ∞  0.7000    58.80                                                                               1.522160                                                                                  PL                                     10   ∞  5.0000         1.000000                                          11   10.6020  2.7000    57.57                                                                               1.491080                                                                              ]   s                                      12   ∞  0.2000         1.000000                                                                                  F                                      13   ∞  25.8000        1.000000                                          14*  19.0180  2.3000    57.57                                                                               1.491080                                                                                  E                                      15   -41.0030 16.0000        1.000000                                          16   E.P.                    1.000000                                          ______________________________________                                         m       0.34841       0.46996  0.63392                                         d4      8.36021        4.23632                                                                                1.17897                                         d8     10.48979      13.54707 17.67103                                         ______________________________________                                         2nd surface (aspherical surface)                                               Standard radius of curvature: R.sub.2 = 5.4810                                 Cone coefficient: k = 0.8700                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = 1.4531 × 10.sup.-7                                                                    C.sub.10 = 0.0                                          8th surface (aspherical surface)                                               Standard radius of curvature: R.sub.8 = -4.8170                                Cone coefficient: k = 0.3600                                                   Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = 2.60780 × 10.sup.-8                                                                   C.sub.10 = 0.0                                          14th surface (aspherical surface)                                              Standard radius of curvature: R.sub.14 = 19.0180                               Cone coefficient: k = -0.4600                                                  Aspherical surface coefficient                                                 C.sub.2 = 0.0 C.sub.4 = 0.0                                                                               C.sub.6 = 0.0                                       C.sub.8 = -5.0000 × 10.sup.-10                                                                   C.sub.10 = 0.0                                         ______________________________________                                         ν.sub.1 = 35.09, r.sub.7 /f.sub.4 = -0.0655, d.sub.5 /f.sub.w = 0.248       f.sub.1 /f.sub.w = -0.873, n.sub.1 = 1.5741, f.sub.w = 10.052                  S.sub.2 (0.6.r.sub.2)/r.sub.2 = 0.1972                                         S.sub.8 (0.25.r.sub.8)/r.sub.8 = 0.03143                                       ______________________________________                                    

where the numbers at the left end represent the surface numbers, r represents the radius of curvature, d represents the inter-surface spacing, n represents the refractive index for d-lines (λ=587.6 nm), ν represents the Abbe number, x represents the visibility (diopters), m represents the magnification, ω represents the angle of incidence (°), and E.P. represents the eye point, the aspherical surfaces are indicated by the mark * at the right of the surface numbers, and the shape of the aspherical surfaces is represented by the following polynominal: ##EQU14## where k is the cone coefficient, A_(n) is the nth-order aspherical surface coefficient, and R is the standard radius of curvature, and the paraxial radius of curvature r of the aspherical surfaces is indicated by r=1/(2·A₂ +1/R). 